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I understand why it decreases for most of the gases but i cannot understand why it increases after reaching a certain minimum.

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After a certain amount of pressure, the molecules start repelling each other and this leads to a rise in compressibility factor.

At high pressures, the van der Wall constant $b$ which represents the finite volume occupied by the gas molecules plays a greater role than the van der Wall constant $a$ which represents the attractive forces between the gas molecules.

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